Subgroups — #26031015

Order 11392.

472 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19152105	C₂	1	1	yes	maximal, characteristic, complemented
2	#121×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#19151932	C₂	1	1	yes	maximal, characteristic, complemented
4	#19151923	C₂	1	1	yes	maximal, characteristic, complemented
5	#19151919	C₂	1	1	yes	maximal, characteristic, complemented
6	#19151915	C₂	1	1	yes	maximal, characteristic, complemented
7	#19151833	C₂	1	1	yes	maximal, characteristic, complemented
8	#19151831	C₂	1	1	yes	maximal, characteristic, complemented
9	#19151830	C₂	1	1	yes	maximal, characteristic, complemented
10	#19151824	C₂	1	1	yes	maximal, characteristic, complemented
11	#19151747	C₂	1	1	yes	maximal, characteristic, complemented
12	#19151743	C₂	1	1	yes	maximal, characteristic, complemented
13	#19151730	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²⋊C₈×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#449×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₄×D₈₉	—	2	1	no	—
17	C₂×D₄×D₈₉	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₈₉	C₂²	1	1	yes	characteristic
19	C₂×#13083561	C₂²	1	1	yes	characteristic, complemented
20	C₂×#13083559	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₈×D₈₉	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₈×D₈₉	C₂²	1	1	yes	characteristic, complemented
23	#15667993	—	2	1	no	—
24	#15667988	C₂²	1	1	yes	characteristic
25	#15667988	C₂²	1	1	yes	characteristic, complemented
26	#15667987	C₂²	1	1	yes	characteristic
27	#15667986	C₂²	1	1	yes	characteristic
28	#15667985	—	2	1	no	—
29	#15667984	—	2	1	no	—
30	#15667983	C₂²	1	1	yes	characteristic
31	#15667983	C₂²	1	1	yes	characteristic
32	#15667983	C₂²	1	1	yes	characteristic, complemented
33	#15667980	—	2	1	no	—
34	C₄×C₂²⋊D₈₉	—	2	1	no	—
35	C₄×C₂²⋊D₈₉	—	2	1	no	—
36	#15667971	C₂²	1	1	yes	characteristic, complemented
37	C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
38	C₂²⋊C₄×D₈₉	—	2	1	no	—
39	#15667946	C₂²	1	1	yes	characteristic, complemented
40	#15667945	C₂²	1	1	yes	characteristic, complemented
41	#15667944	C₂²	1	1	yes	characteristic, complemented
42	#15667943	C₂²	1	1	yes	characteristic, complemented
43	#15667936	C₂²	1	1	yes	characteristic, complemented
44	#15667934	C₂²	1	1	yes	characteristic, complemented
45	#15667934	C₂²	1	1	yes	characteristic, complemented
46	#15667933	C₂²	1	1	yes	characteristic, complemented
47	#15667933	C₂²	1	1	yes	characteristic, complemented
48	#15667933	C₂²	1	1	yes	characteristic, complemented
49	C₂²⋊#10623494	C₂²	1	1	yes	characteristic, complemented
50	#15667924	C₂²	1	1	yes	characteristic
51	#15667924	C₂²	1	1	yes	characteristic
52	C₂×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
54	C₂×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
55	#121×C₈₉	C₂²	1	1	yes	characteristic
56	#103×C₈₉	C₂²	1	1	yes	characteristic, complemented
57	#102×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	C₂²⋊C₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₈₉	—	2	1	no	—
60	C₂³×D₈₉	D₄	1	1	yes	characteristic
61	C₂×D₃₅₆	—	2	1	no	—
62	C₂×D₃₅₆	C₂³	1	1	yes	characteristic
63	C₂×C₂²⋊D₈₉	—	2	1	no	—
64	C₂×C₂²⋊D₈₉	—	2	1	no	—
65	C₂×C₂²⋊D₈₉	—	2	1	no	—
66	C₂×C₂²⋊D₈₉	—	2	1	no	—
67	C₂×C₂²⋊D₈₉	—	2	1	no	—
68	D₄×D₈₉	—	4	1	no	—
69	D₄×D₈₉	—	4	1	no	—
70	D₄×D₈₉	—	4	4	no	—
71	C₂²×Dic₈₉	D₄	1	1	yes	characteristic
72	C₂×C₄×D₈₉	—	2	1	no	—
73	C₂×C₄×D₈₉	—	4	1	no	—
74	C₂×C₄×D₈₉	—	4	1	no	—
75	C₂×C₄×D₈₉	D₄	1	1	yes	characteristic
76	C₂×C₄×D₈₉	D₄	1	1	yes	characteristic
77	C₂×C₄×D₈₉	C₂³	1	1	yes	characteristic
78	C₂×C₄×D₈₉	C₂³	1	1	yes	characteristic
79	#13083561	—	4	1	no	—
80	#13083559	—	4	1	no	—
81	C₂×#10623494	C₂³	1	1	yes	characteristic
82	C₂×#10623494	C₂³	1	1	yes	characteristic
83	C₈×D₈₉	—	4	1	no	—
84	C₈×D₈₉	—	4	1	no	—
85	C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
86	C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
87	C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
88	#13083553	—	2	1	no	—
89	#13083553	—	2	1	no	—
90	#13083553	—	2	1	no	—
91	C₂²⋊Dic₈₉	—	2	1	no	—
92	C₂²⋊Dic₈₉	—	2	1	no	—
93	C₂²⋊Dic₈₉	—	2	1	no	—
94	C₂²⋊Dic₈₉	—	2	1	no	—
95	#13083551	—	2	1	no	—
96	#13083551	—	2	1	no	—
97	#13083551	—	2	1	no	—
98	#13083551	—	2	1	no	—
99	C₄×Dic₈₉	—	2	1	no	—
100	#41×C₈₉	—	4	1	no	—
101	#41×C₈₉	—	4	1	no	—
102	C₂×Q₈×C₈₉	C₂³	1	1	yes	characteristic
103	C₂×D₄×C₈₉	—	2	1	no	—
104	C₂×D₄×C₈₉	—	2	1	no	—
105	C₂×D₄×C₈₉	C₂³	1	1	yes	characteristic
106	C₂×D₄×C₈₉	C₂³	1	1	yes	characteristic
107	C₂²×C₄×C₈₉	—	2	1	no	—
108	C₂²×C₄×C₈₉	C₂³	1	1	yes	characteristic
109	SD₁₆×C₈₉	—	4	1	no	—
110	D₈×C₈₉	—	4	1	no	—
111	C₂×C₈×C₈₉	C₂³	1	1	yes	characteristic
112	C₂×C₈×C₈₉	C₂³	1	1	yes	characteristic
113	C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
114	C₂²⋊C₄×C₈₉	—	2	1	no	—
115	C₂³×C₈₉	—	2	1	no	—
116	C₂³×C₈₉	—	2	1	no	—
117	C₂³×C₈₉	C₂×D₄	1	1	yes	characteristic
118	C₂²×D₈₉	—	2	2	no	—
119	C₂²×D₈₉	—	2	2	no	—
120	C₂²×D₈₉	—	2	1	no	—
121	C₂²×D₈₉	—	4	1	no	—
122	C₂²×D₈₉	—	4	2	no	—
123	C₂²×D₈₉	—	4	2	no	—
124	C₂²×D₈₉	—	4	2	no	—
125	C₂²×D₈₉	C₂×D₄	1	1	yes	characteristic
126	C₂²×D₈₉	C₂×D₄	1	1	yes	characteristic
127	Q₈×C₈₉	—	2	1	no	—
128	Q₈×C₈₉	—	2	1	no	—
129	D₄×C₈₉	—	2	1	no	—
130	D₄×C₈₉	—	2	1	no	—
131	D₄×C₈₉	—	2	1	no	—
132	D₄×C₈₉	—	2	1	no	—
133	D₄×C₈₉	—	4	2	no	—
134	D₄×C₈₉	—	4	2	no	—
135	C₂×C₄×C₈₉	—	2	1	no	—
136	C₂×C₄×C₈₉	—	2	1	no	—
137	C₂×C₄×C₈₉	—	2	1	no	—
138	C₂×C₄×C₈₉	—	2	1	no	—
139	C₂×C₄×C₈₉	—	4	2	no	—
140	C₂×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
142	C₂²⋊D₈₉	—	4	2	no	—
143	C₂²⋊D₈₉	—	4	2	no	—
144	C₂²⋊D₈₉	—	4	2	no	—
145	C₂²⋊D₈₉	—	4	2	no	—
146	C₂²⋊D₈₉	—	4	2	no	—
147	C₂×Dic₈₉	—	2	1	no	—
148	C₂×Dic₈₉	—	2	1	no	—
149	C₂×Dic₈₉	—	2	1	no	—
150	C₂×Dic₈₉	—	4	1	no	—
151	C₂×Dic₈₉	C₂×D₄	1	1	yes	characteristic
152	C₂×Dic₈₉	C₂×D₄	1	1	yes	characteristic
153	D₃₅₆	—	2	1	no	—
154	D₃₅₆	—	2	1	no	—
155	D₃₅₆	—	4	2	no	—
156	C₄×D₈₉	—	2	1	no	—
157	C₄×D₈₉	—	2	1	no	—
158	C₄×D₈₉	—	2	1	no	—
159	C₄×D₈₉	—	2	1	no	—
160	C₄×D₈₉	—	4	1	no	—
161	C₄×D₈₉	—	4	1	no	—
162	C₄×D₈₉	—	4	2	no	—
163	C₈×C₈₉	—	2	1	no	—
164	C₈×C₈₉	—	2	1	no	—
165	#10623494	—	2	1	no	—
166	#10623494	—	2	1	no	—
167	C₂²×C₈₉	—	2	1	no	—
168	C₂²×C₈₉	—	2	1	no	—
169	C₂²×C₈₉	—	2	1	no	—
170	C₂²×C₈₉	—	4	1	no	—
171	C₂²×C₈₉	—	4	1	no	—
172	C₂²×C₈₉	—	4	1	no	—
173	C₂²×C₈₉	—	4	1	no	—
174	C₂²×C₈₉	—	4	1	no	—
175	C₂²×C₈₉	—	4	1	no	—
176	C₂²×C₈₉	C₂²×D₄	1	1	yes	characteristic
177	C₂×D₈₉	—	2	1	no	—
178	C₂×D₈₉	—	2	1	no	—
179	C₂×D₈₉	—	2	1	no	—
180	C₂×D₈₉	—	2	1	no	—
181	C₂×D₈₉	—	4	4	no	—
182	C₂×D₈₉	—	4	1	no	—
183	C₂×D₈₉	—	4	1	no	—
184	C₂×D₈₉	—	4	1	no	—
185	C₂×D₈₉	—	8	4	no	—
186	C₂×D₈₉	#135	1	2	yes	—
187	C₂×D₈₉	AGL(1,ℤ/8)	1	2	yes	—
188	C₄×C₈₉	—	2	1	no	—
189	C₄×C₈₉	—	4	1	no	—
190	C₄×C₈₉	—	4	1	no	—
191	C₄×C₈₉	H(5,𝔽₂)	1	1	yes	characteristic
192	C₄×C₈₉	H(5,𝔽₂)	1	1	yes	characteristic
193	Dic₈₉	—	2	1	no	—
194	Dic₈₉	—	2	1	no	—
195	Dic₈₉	—	4	1	no	—
196	Dic₈₉	—	4	1	no	—
197	Dic₈₉	—	4	1	no	—
198	C₂×C₈₉	—	4	1	no	—
199	C₂×C₈₉	—	8	1	no	—
200	C₂×C₈₉	—	8	1	no	—
201	C₂×C₈₉	#534	1	1	yes	characteristic
202	C₂×C₈₉	C₂×#135	1	1	yes	characteristic
203	C₂×C₈₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	D₈₉	—	2	2	no	—
205	D₈₉	—	2	2	no	—
206	D₈₉	—	8	1	no	—
207	#3188	—	89	1	no	maximal, Sylow
208	C₈₉	#3188	1	1	yes	characteristic, complemented, Sylow
209	#525	—	89	1	no	—
210	C₂×#121	—	89	1	no	—
211	#484	—	89	1	no	—
212	#482	—	89	1	no	—
213	#482	—	89	1	no	—
214	#481	—	89	1	no	—
215	#466	—	89	1	no	—
216	#466	—	89	1	no	—
217	#465	—	89	1	no	—
218	#465	—	89	1	no	—
219	#450	—	89	1	no	—
220	#449	—	89	1	no	—
221	#449	D₈₉	1	1	yes	characteristic, complemented
222	#447	—	89	1	no	—
223	C₂×C₂²⋊C₈	—	89	1	no	—
224	C₂×#41	C₂×D₈₉	1	1	yes	characteristic, complemented
225	C₂²×D₄	—	89	1	no	—
226	C₂²×D₄	—	178	1	no	—
227	C₂³×C₄	—	89	1	no	—
228	C₂×SD₁₆	—	89	1	no	—
229	C₂×SD₁₆	C₂×D₈₉	1	1	yes	characteristic, complemented
230	C₂×D₈	—	89	1	no	—
231	C₂×D₈	C₂×D₈₉	1	1	yes	characteristic, complemented
232	C₂²×C₈	—	89	1	no	—
233	C₂²×C₈	—	89	1	no	—
234	#123	—	178	1	no	—
235	C₂²⋊Q₈	—	89	1	no	—
236	C₂²⋊Q₈	—	89	1	no	—
237	#121	—	89	1	no	—
238	#121	—	89	1	no	—
239	#121	—	89	1	no	—
240	#121	—	89	1	no	—
241	#121	—	89	1	no	—
242	#121	—	178	1	no	—
243	#121	—	178	1	no	—
244	#121	C₂×D₈₉	1	1	yes	characteristic
245	#120	—	178	1	no	—
246	C₄×D₄	—	178	1	no	—
247	C₄×D₄	—	178	1	no	—
248	#117	—	89	1	no	—
249	C₂×C₄⋊C₄	—	89	1	no	—
250	C₂×C₂²⋊C₄	—	178	1	no	—
251	#107	—	89	1	no	—
252	#107	—	89	1	no	—
253	#106	—	89	1	no	—
254	#106	—	89	1	no	—
255	#103	—	89	1	no	—
256	#103	C₂×D₈₉	1	1	yes	characteristic, complemented
257	#102	—	89	1	no	—
258	#102	—	89	1	no	—
259	#102	—	89	1	no	—
260	#102	—	89	1	no	—
261	#102	—	89	1	no	—
262	#102	C₂×D₈₉	1	1	yes	characteristic, complemented
263	C₂²⋊C₈	—	89	1	no	—
264	C₂²⋊C₈	—	89	1	no	—
265	C₂²⋊C₈	—	89	1	no	—
266	C₂²⋊C₈	C₂×D₈₉	1	1	yes	characteristic, complemented
267	C₂⁴	—	89	1	no	—
268	C₂⁴	—	178	1	no	—
269	#41	—	4	1	no	—
270	#41	—	4	1	no	—
271	C₂×Q₈	C₂²×D₈₉	1	1	yes	characteristic
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	89	1	no	—
275	C₂×D₄	—	356	4	no	—
276	C₂×D₄	—	356	1	no	—
277	C₂×D₄	—	356	1	no	—
278	C₂×D₄	—	178	1	no	—
279	C₂×D₄	—	178	1	no	—
280	C₂×D₄	—	178	1	no	—
281	C₂×D₄	—	178	1	no	—
282	C₂×D₄	—	178	1	no	—
283	C₂×D₄	—	178	1	no	—
284	C₂×D₄	C₂²×D₈₉	1	1	yes	characteristic
285	C₂×D₄	C₂²×D₈₉	1	1	yes	characteristic
286	C₂²×C₄	—	2	1	no	—
287	C₂²×C₄	—	89	1	no	—
288	C₂²×C₄	—	89	1	no	—
289	C₂²×C₄	—	89	1	no	—
290	C₂²×C₄	—	89	1	no	—
291	C₂²×C₄	—	89	1	no	—
292	C₂²×C₄	—	356	1	no	—
293	C₂²×C₄	—	356	1	no	—
294	C₂²×C₄	—	178	1	no	—
295	C₂²×C₄	C₂²×D₈₉	1	1	yes	characteristic
296	SD₁₆	—	4	1	no	—
297	SD₁₆	—	356	1	no	—
298	D₈	—	4	1	no	—
299	D₈	—	356	1	no	—
300	C₂×C₈	—	89	1	no	—
301	C₂×C₈	—	89	1	no	—
302	C₂×C₈	—	356	1	no	—
303	C₂×C₈	—	356	1	no	—
304	C₂×C₈	C₂²×D₈₉	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₈₉	1	1	yes	characteristic
306	C₄⋊C₄	—	89	1	no	—
307	C₄⋊C₄	—	89	1	no	—
308	C₄⋊C₄	—	89	1	no	—
309	C₄⋊C₄	—	178	1	no	—
310	C₄⋊C₄	—	178	1	no	—
311	C₄⋊C₄	—	178	1	no	—
312	C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
313	C₂²⋊C₄	—	2	1	no	—
314	C₂²⋊C₄	—	178	1	no	—
315	C₂²⋊C₄	—	178	1	no	—
316	C₂²⋊C₄	—	178	1	no	—
317	C₂²⋊C₄	—	178	1	no	—
318	C₂²⋊C₄	—	178	1	no	—
319	C₂²⋊C₄	—	178	1	no	—
320	C₂²⋊C₄	—	178	1	no	—
321	C₂²⋊C₄	—	178	1	no	—
322	C₄²	—	178	1	no	—
323	C₂³	—	2	1	no	—
324	C₂³	—	2	1	no	—
325	C₂³	—	89	1	no	—
326	C₂³	—	89	1	no	—
327	C₂³	—	356	1	no	—
328	C₂³	—	356	2	no	—
329	C₂³	—	356	2	no	—
330	C₂³	—	356	2	no	—
331	C₂³	—	178	2	no	—
332	C₂³	—	178	2	no	—
333	C₂³	—	178	1	no	—
334	C₂³	D₄×D₈₉	1	1	yes	characteristic
335	Q₈	—	2	1	no	—
336	Q₈	—	2	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	2	1	no	—
339	D₄	—	2	1	no	—
340	D₄	—	2	1	no	—
341	D₄	—	4	2	no	—
342	D₄	—	4	2	no	—
343	D₄	—	356	2	no	—
344	D₄	—	356	2	no	—
345	D₄	—	356	2	no	—
346	D₄	—	356	2	no	—
347	D₄	—	356	2	no	—
348	D₄	—	356	2	no	—
349	D₄	—	178	1	no	—
350	D₄	—	178	1	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	4	2	no	—
356	C₂×C₄	—	89	1	no	—
357	C₂×C₄	—	89	1	no	—
358	C₂×C₄	—	356	1	no	—
359	C₂×C₄	—	356	1	no	—
360	C₂×C₄	—	356	2	no	—
361	C₂×C₄	—	356	1	no	—
362	C₂×C₄	—	178	1	no	—
363	C₂×C₄	—	178	1	no	—
364	C₂×C₄	—	178	1	no	—
365	C₂×C₄	—	178	1	no	—
366	C₂×C₄	—	178	1	no	—
367	C₂×C₄	—	178	1	no	—
368	C₂×C₄	—	178	1	no	—
369	C₂×C₄	D₄×D₈₉	1	1	yes	characteristic
370	C₂×C₄	C₂³×D₈₉	1	1	yes	characteristic
371	C₈	—	2	1	no	—
372	C₈	—	2	1	no	—
373	C₈	—	178	1	no	—
374	C₈	—	178	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	4	1	no	—
379	C₂²	—	4	1	no	—
380	C₂²	—	4	1	no	—
381	C₂²	—	4	1	no	—
382	C₂²	—	4	1	no	—
383	C₂²	—	4	1	no	—
384	C₂²	—	89	2	no	—
385	C₂²	—	89	2	no	—
386	C₂²	—	356	4	no	—
387	C₂²	—	356	1	no	—
388	C₂²	—	356	1	no	—
389	C₂²	—	356	1	no	—
390	C₂²	—	178	1	no	—
391	C₂²	—	178	1	no	—
392	C₂²	—	178	1	no	—
393	C₂²	—	178	1	no	—
394	C₂²	—	712	4	no	—
395	C₂²	C₂×D₄×D₈₉	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	4	1	no	—
398	C₄	—	4	1	no	—
399	C₄	—	356	1	no	—
400	C₄	—	356	1	no	—
401	C₄	—	356	1	no	—
402	C₄	—	178	1	no	—
403	C₄	—	178	1	no	—
404	C₄	#15668057	1	1	yes	characteristic
405	C₄	#15668057	1	1	yes	characteristic
406	C₂	—	4	1	no	—
407	C₂	—	8	1	no	—
408	C₂	—	8	1	no	—
409	C₂	—	178	2	no	—
410	C₂	—	178	2	no	—
411	C₂	—	712	1	no	—
412	C₂	#19152158	1	1	yes	characteristic
413	C₂	#135×D₈₉	1	1	yes	characteristic
414	C₂	AGL(1,ℤ/8)×D₈₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₉
commutator, cosocle	C₂×C₄×C₈₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₉
Fitting	#449×C₈₉	C₂
socle	C₂²×C₈₉	C₂²×D₄
hypercenter	#449	D₈₉
hypocenter	C₈₉	#3188
LCS	G ▷ C₂×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #449

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #19152105	C₂	semidirect
2. #121×D₈₉	C₂	semidirect
3. #19151932	C₂	semidirect
4. #19151923	C₂	semidirect
5. #19151919	C₂	semidirect
6. #19151915	C₂	semidirect
7. #19151833	C₂	semidirect
8. #19151831	C₂	semidirect
9. #19151830	C₂	semidirect
10. #19151824	C₂	semidirect
11. #19151747	C₂	semidirect
12. #19151743	C₂	semidirect
13. #19151730	C₂	semidirect
14. C₂²⋊C₈×D₈₉	C₂	semidirect
15. #449×C₈₉	C₂	semidirect
19. C₂×#13083561	C₂²	semidirect
20. C₂×#13083559	C₂²	semidirect
21. C₂×C₈×D₈₉	C₂²	semidirect
22. C₂×C₈×D₈₉	C₂²	semidirect
25. #15667988	C₂²	semidirect
32. #15667983	C₂²	semidirect
36. #15667971	C₂²	semidirect
39. #15667946	C₂²	semidirect
40. #15667945	C₂²	semidirect
41. #15667944	C₂²	semidirect
42. #15667943	C₂²	semidirect
43. #15667936	C₂²	semidirect
44. #15667934	C₂²	semidirect
45. #15667934	C₂²	semidirect
46. #15667933	C₂²	semidirect
47. #15667933	C₂²	semidirect
48. #15667933	C₂²	semidirect
49. C₂²⋊#10623494	C₂²	semidirect
52. C₂×#41×C₈₉	C₂²	semidirect
53. C₂×SD₁₆×C₈₉	C₂²	semidirect
54. C₂×D₈×C₈₉	C₂²	semidirect
56. #103×C₈₉	C₂²	semidirect
57. #102×C₈₉	C₂²	semidirect
58. C₂²⋊C₈×C₈₉	C₂²	semidirect
208. C₈₉	#3188	semidirect
221. #449	D₈₉	semidirect
224. C₂×#41	C₂×D₈₉	semidirect
229. C₂×SD₁₆	C₂×D₈₉	semidirect
231. C₂×D₈	C₂×D₈₉	semidirect
256. #103	C₂×D₈₉	semidirect
262. #102	C₂×D₈₉	semidirect
266. C₂²⋊C₈	C₂×D₈₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#19152105	2
#121×D₈₉	2
#19151932	2
#19151923	2
#19151919	2
#19151915	2
#19151833	2
#19151831	2
#19151830	2
#19151824	2
#19151747	2
#19151743	2
#19151730	2
C₂²⋊C₈×D₈₉	2
#449×C₈₉	2
#3188	89